Do these ratios form a proportion?
19 men : 9 women
38 men : 18 women
Yes, these ratios form a proportion. This can be determined by simplifying both ratios to their simplest form.
For the first ratio, we can divide both 19 and 9 by their greatest common divisor, which is 1. Therefore, the simplest form of the first ratio is 19 men : 9 women.
For the second ratio, we can divide both 38 and 18 by their greatest common divisor, which is 2. Therefore, the simplest form of the second ratio is 19 men : 9 women.
Since both ratios simplify to the same ratio, 19 men : 9 women, they form a proportion.